Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
366 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 69 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14531008 | C2 | semidirect |
| 3. #14530927 | C2 | semidirect |
| 4. #14528173 | C2 | semidirect |
| 5. #14526831 | C2 | semidirect |
| 6. #14526749 | C2 | semidirect |
| 7. C17×D4⋊C16 | C2 | semidirect |
| 83. Dic68 | SD16 | semidirect |
| 127. D4⋊C16 | D17 | semidirect |
| 195. C17 | #12369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540544 | 2 |
| #14531008 | 2 |
| #14530927 | 2 |
| #14528173 | 2 |
| #14526831 | 2 |
| #14526749 | 2 |
| C17×D4⋊C16 | 2 |
| #12369 | 17 |